1321301200 has 60 divisors (see below), whose sum is σ = 3361174380. Its totient is φ = 497428480.

The previous prime is 1321301147. The next prime is 1321301207. The reversal of 1321301200 is 21031231.

It can be written as a sum of positive squares in 6 ways, for example, as 40806544 + 1280494656 = 6388^2 + 35784^2 .

It is a super-2 number, since 2×1321301200² = 3491673722242880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321301207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90355 + ... + 103954.

It is an arithmetic number, because the mean of its divisors is an integer number (56019573).

Almost surely, 2^1321301200 is an apocalyptic number.

1321301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321301200 is an abundant number, since it is smaller than the sum of its proper divisors (2039873180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1321301200 is a wasteful number, since it uses less digits than its factorization.

1321301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194344 (or 194333 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1321301200 is about 36349.7070139499. The cubic root of 1321301200 is about 1097.3216380879.

Adding to 1321301200 its reverse (21031231), we get a palindrome (1342332431).

The spelling of 1321301200 in words is "one billion, three hundred twenty-one million, three hundred one thousand, two hundred".